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Finding the Fourth Proportional to 20,332.17, 30,477.79 and 9,786.78

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Solution

The fourth proportional to 20,332.17, 30,477.79 and 9,786.78 is: 14,670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,332.17 : 30,477.79 = 9,786.78 : x
  2. Step 2: Convert to fraction form
    20,332.17/30,477.79 = 9,786.78/x
  3. Step 3: Cross multiply
    20,332.17x = 30,477.79 × 9,786.78
  4. Step 4: Simplify right side
    20,332.17x = 298,279,425.62
  5. Step 5: Solve for x
    x = 298,279,425.62/20,332.17
  6. Step 6: Final answer
    x = 14,670.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.